Accuracy and consistency of the explicit-invariant energy quadratization approach for the Cahn-Hilliard equation
type: Item
instance of: scholarly article
title: Accuracy and consistency of the explicit-invariant energy quadratization approach for the Cahn-Hilliard equation
author: Jun Zhang
author: Fangying Song
author: Q6046384
published in: Journal of Mathematical Research with Applications
publication date: 2025-01-27T00:00:00Z
Mathematics Subject Classification ID: 35K45
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 65G20
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 7975429
zbMATH Keywords: Cahn-Hilliard equation
zbMATH Keywords: EIEQ
zbMATH Keywords: unconditionally energy stable
zbMATH Keywords: fully decoupled
zbMATH Keywords: relaxation technique
MaRDI profile type: Publication
cites work: Free Energy of a Nonuniform System. I. Interfacial Free Energy
cites work: The Cahn–Hilliard Equation: Recent Advances and Applications
cites work: Applications of semi-implicit Fourier-spectral method to phase field equations
cites work: Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
cites work: The Global Dynamics of Discrete Semilinear Parabolic Equations
cites work: An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
cites work: Q3538713
cites work: Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models
cites work: Error estimates with low-order polynomial dependence for the fully-discrete finite element invariant energy quadratization scheme of the Allen–Cahn equation
cites work: Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
cites work: A novel linear second order unconditionally energy stable scheme for a hydrodynamic \(\mathbf{Q} \)-tensor model of liquid crystals
cites work: Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method
cites work: Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model
cites work: The scalar auxiliary variable (SAV) approach for gradient flows
cites work: A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
cites work: Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
cites work: The Exponential Scalar Auxiliary Variable (E-SAV) Approach for Phase Field Models and Its Explicit Computing
cites work: Unconditional stability and optimal error estimates of Euler implicit/explicit-SAV scheme for the Navier-Stokes equations
cites work: A revisit of the energy quadratization method with a relaxation technique
cites work: Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation
cites work: Numerical approximations of flow coupled binary phase field crystal system: fully discrete finite element scheme with second-order temporal accuracy and decoupling structure
cites work: Efficient fully-decoupled and fully-discrete explicit-IEQ numerical algorithm for the two-phase incompressible flow-coupled Cahn-Hilliard phase-field model
cites work: Q2083116
cites work: Efficient, second-order in time, and energy stable scheme for a new hydrodynamically coupled three components volume-conserved Allen–Cahn phase-field model
cites work: A generalized SAV approach with relaxation for dissipative systems
cites work: Totally decoupled implicit-explicit linear scheme with corrected energy dissipation law for the phase-field fluid vesicle model
cites work: Efficient IMEX and consistently energy-stable methods of diffuse-interface models for incompressible three-component flows
cites work: Explicit exactly energy-conserving methods for Hamiltonian systems
DOI: 10.3770/J.ISSN:2095-2651.2025.01.008
description: scientific article; zbMATH DE number 7975429